Semi Bandit Dynamics in Congestion Games: Convergence to Nash Equilibrium and No-Regret Guarantees.

I Panageas, S Skoulakis, L Viano… - International …, 2023 - proceedings.mlr.press
In this work, we propose introduce a variant of online stochastic gradient descent and prove
it converges to Nash equilibria and simultaneously it has sublinear regret for the class of …

The zero regrets algorithm: Optimizing over pure Nash equilibria via integer programming

G Dragotto, R Scatamacchia - INFORMS Journal on …, 2023 - pubsonline.informs.org
Designing efficient algorithms to compute Nash equilibria poses considerable challenges in
algorithmic game theory and optimization. In this work, we employ integer programming …

Generalized Nash equilibrium problems with mixed-integer variables

T Harks, J Schwarz - Mathematical Programming, 2024 - Springer
We consider generalized Nash equilibrium problems (GNEPs) with non-convex strategy
spaces and non-convex cost functions. This general class of games includes the important …

Polynomial Convergence of Bandit No-Regret Dynamics in Congestion Games

L Dadi, I Panageas, S Skoulakis, L Viano… - arXiv preprint arXiv …, 2024 - arxiv.org
We introduce an online learning algorithm in the bandit feedback model that, once adopted
by all agents of a congestion game, results in game-dynamics that converge to an $\epsilon …

[HTML][HTML] Tight inefficiency bounds for perception-parameterized affine congestion games

P Kleer, G Schäfer - Theoretical Computer Science, 2019 - Elsevier
We introduce a new model of congestion games that captures several extensions of the
classical congestion game introduced by Rosenthal in 1973. The idea here is to …

A unified framework for pricing in nonconvex resource allocation games

T Harks, J Schwarz - SIAM Journal on Optimization, 2023 - SIAM
We consider a basic nonconvex resource allocation game, where the players' strategy
spaces are subsets of and cost functions are parameterized by some common vector and …

Price of anarchy in paving matroid congestion games

B Hao, C Michini - International Symposium on Algorithmic Game Theory, 2024 - Springer
Congestion games allow to model competitive resource sharing in various distributed
systems. Pure Nash equilibria, that are stable outcomes of a game, could be far from being …

Topological bounds on the price of anarchy of clustering games on networks

P Kleer, G Schäfer - ACM Transactions on Economics and Computation, 2023 - dl.acm.org
We consider clustering games in which the players are embedded into a network and want
to coordinate (or anti-coordinate) their strategy with their neighbors. The goal of a player is to …

Price of anarchy for parallel link networks with generalized mean objective

P Kleer - OR Spectrum, 2023 - Springer
The price of anarchy is the most well-known measure for quantifying the inefficiency of
equilibrium flows in traffic networks and routing games. In this work, we give unifying price of …

Integer Traffic Assignment Problem: Algorithms and Insights on Random Graphs

R Harfouche, G Piccioli, L Zdeborová - arXiv preprint arXiv:2405.10763, 2024 - arxiv.org
Path optimization is a fundamental concern across various real-world scenarios, ranging
from traffic congestion issues to efficient data routing over the internet. The Traffic …